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Philosophical Magazine A Volume 70, 1994 - Issue 2
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Original Articles

On fibre pull-out with a rough interface

Hong-Yuan Liu Centre for Advanced Materials Technology, Department of Mechanical and Mechatronic Engineering, University of Sydney, Sydney, New South Wales, 2006, Australia
,
Li-Min Zhou Centre for Advanced Materials Technology, Department of Mechanical and Mechatronic Engineering, University of Sydney, Sydney, New South Wales, 2006, Australia
&
Yiu-Wing Mai Centre for Advanced Materials Technology, Department of Mechanical and Mechatronic Engineering, University of Sydney, Sydney, New South Wales, 2006, Australia
Pages 359-372 | Received 15 Oct 1993, Accepted 16 Feb 1994, Published online: 27 Sep 2006
 
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Abstract

A theoretical analysis, based on the Fourier transformation approach, has been developed for the frictional pull-out of a single fibre with a rough interface from an elastic matrix. A Fourier series is used to express the amplitude function of the interfacial roughness, and solutions for the fibre pull-out stress are obtained for two different boundary conditions: one models a matrix containing an array of unidirectional fibres and the other a single fibre–matrix system. The interfacial roughness between the fibre and matrix is found to have a pronounced influence on the fibre sliding behaviour.

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